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Finding the Fourth Proportional to 505,527.90, 758,080.17 and 205,804.68

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Solution

The fourth proportional to 505,527.90, 758,080.17 and 205,804.68 is: 308,620.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,527.90 : 758,080.17 = 205,804.68 : x
  2. Step 2: Convert to fraction form
    505,527.90/758,080.17 = 205,804.68/x
  3. Step 3: Cross multiply
    505,527.90x = 758,080.17 × 205,804.68
  4. Step 4: Simplify right side
    505,527.90x = 156,016,446,801.20
  5. Step 5: Solve for x
    x = 156,016,446,801.20/505,527.90
  6. Step 6: Final answer
    x = 308,620.84

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.